Question

I need to know the answer and how to solve this

Answer 1

Explanation:

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Answer 2

We have here two parallel lines, m, and n, cut by a transversal (t). In this case, we have that the corresponding angles are congruent.

We have that both equations represent corresponding angles. Then, we have that:

`(7x-4)=(5x+10)`

Now, we need to solve these equations for x. We can proceed as follows:

1. Subtract 5x from both sides of the equation:

`7x-5x-4=5x-5x+10\Rightarrow2x-4=0+10\Rightarrow2x-4=10`

2. Add 4 to both sides of the equation:

`2x-4+4=10+4\Rightarrow2x+0=14\Rightarrow2x=14`

3. And finally, divide both sides of the equation by 2:

`(2x)/(2)=(14)/(2)\Rightarrow x=7`

Therefore, the value for x is x = 7.